What is the eccentricity of a parabola?

What is the angle in degrees between the tangents drawn from the origin to the parabola $y^2 = 4a(x - a)$?

The tangents drawn from the ends of the latus rectum of the parabola ${y^2} = 12x$ meet at:

Let $P$ be a point on the parabola $x^2 = 4y$. If the distance of $P$ from the centre of the circle $x^2 + y^2 + 6x + 8 = 0$ is minimum,then the equation of the tangent to the parabola at $P$ is:

$A$ set of parallel chords of the parabola $y^2 = 4ax$ have their mid-points on:

The equation of the latus rectum of a parabola is $x + y = 8$ and the equation of the tangent at the vertex is $x + y = 12$. The length of the latus rectum is: